A characteristic condition for convergence of steepest descent approximation to accretive operator equations

DOI10.1016/S0022-247X(02)00122-1zbMath1036.47046OpenAlexW2062383436MaRDI QIDQ1849134

Hai-Yun Zhou

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00122-1

zbMATH Keywords

convergenceerror estimatesteepest descent methoditerative sequences

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items (4)

A steepest-descent Krasnosel'skii-Mann algorithm for a class of variational inequalities in Banach spaces ⋮ Steepest-descent Ishikawa iterative methods for a class of variational inequalities in Banach spaces ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ On nonexpansive and accretive operators in Banach spaces

Cites Work

• A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
• A note on a theorem of Xu and Roach
• Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption
• Approximating the zeros of accretive operators by the Ishikawa iteration process
• Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption

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